Cooling A Room - We have a room with the volume of V = 4x4x2 m³. The room temperature and the outside temperature are both T_r = T_o = 40 C. We put some ice at -18 C from the freezer in the room to melt and bring the temperature down to a desired temperature of T_d = 25 C. Assume the heat is exchanged only between the air and ice. A) Calculate the mass of ice needed (m_i)? B) How much heat did the ice absorb from the air in the room? C) If this amount of heat gets transferred out of the room only through a double pane window with the area of 1x1 m², and 1 cm air gap, how long does it take for this amount of heat to transfer from outside to inside once the room is at 25 C? D) What if the window was made of only 3 mm of glass? Use the following data:

Heat capacity of air C_a= 1000 J/kgK

Heat Capacity or Water C_w =4186 J/kgK

Heat Capacity of ice C_ice = 2100 J/kgK

Latent Heat of fusion of ice L_i=334000 J/kg

Coefficient of Thermal conductivity of glass k_g = 1.3 W/mK

Coefficient of Thermal conductivity of air k_a = 0.025 W/mK

Density of air is d = 1.2 kg/m³